Respuesta :

Given:

The ratio is [tex]\dfrac{3}{1}[/tex].

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]\tan^{-1}\dfrac{3}{1}[/tex]

                                                 = [tex]\tan^{-1}3[/tex]

Using scientific or graphing calculator, we get

Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]71.565^\circ[/tex]

Round to the nearest degree

Inverse tangent of the ratio [tex]\dfrac{3}{1}\approx 72^\circ[/tex]

Therefore, the correct option is C.

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